Question

Steve has three times as many quarters as half-dollars. The coins total $13.75. How many total coins does he have, how would you solve this type of problem??

Answer 1

Hello,
Let assume x the number of half-dollars3x is the number of quarters.
The coins total $13.75.
$0.50 *x+ 0.25 *3x=13.75\\ \Rightarrow\ \dfrac{x}{2}+ \dfrac{3x}{4}=13.75\\ \Rightarrow\ \dfrac{2x}{4}+ \dfrac{3x}{4}=13.75\\ \Rightarrow\ \dfrac{5x}{4}=13.75\\ \Rightarrow\ 5x=4*13.75\\ \Rightarrow\ 5x=55\\ \Rightarrow\ x=11$

11 is the number of half-dollars

33 is the number of quarters.